Pith Number

pith:CGG3BQMB

pith:2015:CGG3BQMBEFDBF7IZ62BHYF5DN6

not attested not anchored not stored refs pending

On a conjecture of Godsil concerning controllable random graphs

Behrouz Touri, Sean O'Rourke

arxiv:1511.05080 v2 · 2015-11-16 · math.OC · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGG3BQMBEFDBF7IZ62BHYF5DN6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:12:32.599681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118db0c181214612fd19f6827c17a36fbe60d10cc5d22b437461d948817a8d3d

Aliases

arxiv: 1511.05080 · arxiv_version: 1511.05080v2 · doi: 10.48550/arxiv.1511.05080 · pith_short_12: CGG3BQMBEFDB · pith_short_16: CGG3BQMBEFDBF7IZ · pith_short_8: CGG3BQMB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CGG3BQMBEFDBF7IZ62BHYF5DN6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 118db0c181214612fd19f6827c17a36fbe60d10cc5d22b437461d948817a8d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654e850e15ded1cd30ef46f2f4b8d094e545c6bc274b9fa661b634ea07f6eb87",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-16T18:37:21Z",
    "title_canon_sha256": "bddce06d1eed14ebfbffa5c32ec682fe96abc9295f27f8ec94ccce31d29ddd72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05080",
    "kind": "arxiv",
    "version": 2
  }
}